hey guys can somebody please help me with a math problem? ?? :))
"Rewrite the rational exponent as a radical by extending the properties of integer exponents." the problem is attached below along with the rational exponent
\[\Huge \frac{2^{\frac78}}{2^\frac14}\]
Well, it will be better for you if you can express this as just ONE power of two. The laws of exponents still apply, by the way: \[\Large \frac{a^m}{a^n}= a^{m-n}\]
Okay!
Well, what is it? \[\Huge \frac{2^\frac78}{2^\frac14}= 2^\color{red}{?}\]
does 5/8 go into the little question mark thingy?
Yes indeed. \[\Huge \frac{2^\frac78}{2^\frac14}= 2^\color{red}{\frac58}\]
Now use this fact: \[\huge a^{\frac mn}=\sqrt[n]{a^m}\] and you'll have your answer ^_^
is the answer the third one down on that list? :o
No. Take a closer look at that ^
okay so it's not c or d, um... oh! is it a?
i'm preeeetty sure it's a, using that forumula
hello???
Yep
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